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3 years ago

Graph the following lines and write the equation in slope-intercept form.

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Answer:

y=mx+b

3=slope

1=y coordinate

-8=x coordinate

b=y intercept

Substitute m for 3

y=3x+b

Next, substitute the coordinate values

1=3(-8)+b

Solve

1=-24+b

+24 +24

25=b

Now substitute b and m for their respective values

y=3x+25

Step-by-step explanation:

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If y varies inversely as x, and y=1 as x=2 find y for the x- value of -1

Lina20 [59]

Inverse variation is of the form y=k/x (direct variation is of the form y=kx)

We are given that x=2 when y=1 so using the inverse form y=k/x we can solve for the constant of variation...

1=k/2

k=2

so the equation is:

y=2/x now they want us to find y when x=-1 so

y=2/-1

y=-2

3 0

3 years ago

You are creating an emergency fund and decide to place $415.00/month in an account that earns a 3.75 APR. How much interest accr

hoa [83]

At the end of the first full month the interest acquires is $ 1.30.

<u>Step-by-step explanation:</u>

Since we are looking for the interest for full month, we have to divide the APR by 12.

Because APR is the interest amount for the full year.

So 3.75 % = 3.75/100 = 0.0375

Now multiplying, we will get

415 × 0.0375/12 = $ 1.30

4 0

3 years ago

Write<br> in simplest radical form.

harina [27]

Answer:√-40=2√-10

Step-by-step explanation:Finding the factors of 40,we have ,√4×√-10=2×√-10=2√-10

8 0

3 years ago

Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be

drek231 [11]

Answer:

Step-by-step explanation:

<h3>Solving linear equation with one variable:</h3>

1) -4 + 3x = 4x - 8

Add 4 to both sides

-4 + 3x + 4 = 4x - 8 + 4

3x = 4x - 4

Subtract 4x from both sides,

3x - 4x = -4x + 4x - 4

-x = -4

$\sf \boxed{\bf x = 4}$

2) -5x - 8 = 2

Add 8 to both sides

-5x - 8 + 8 = 2 + 8

-5x = 10

Divide both sides by (-5)

$\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}$

$\sf \boxed{\bf x = -2}$

3) 12r - 14 = 5(2-r)

12r - 14 = 5*2 - 5*r

12r - 14 = 10 - 5r

Add 14 to both sides

12r - 14 + 14 = 10 - 5r + 14

12r = 24 - 5r

Add 5r to both sides

12r + 5r = 24

17r = 24

Divide both sides by 17

r = 24/17

4) 3x - 8 = -(17 + 2x)

3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

3x = -9 - 2x

Add 2x to both sides

3x + 2x = -9

5x = -9

Divide both sides by 5

$\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}$

3 0

2 years ago

Read 2 more answers

At an apple picking farm, you are allowed to pick up to 25 apples a day and you have already picked 12. Find the possible number

SashulF [63]

Answer:

Step-by-step explanation:

25d - 12 = ?

1 day = 25(1) - 12 = 13

12 + 13 = 25

5 0

3 years ago